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Finding the Fourth Proportional to 26,614.16, 39,914.44 and 7,889.83

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Solution

The fourth proportional to 26,614.16, 39,914.44 and 7,889.83 is: 11,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,614.16 : 39,914.44 = 7,889.83 : x
  2. Step 2: Convert to fraction form
    26,614.16/39,914.44 = 7,889.83/x
  3. Step 3: Cross multiply
    26,614.16x = 39,914.44 × 7,889.83
  4. Step 4: Simplify right side
    26,614.16x = 314,918,026.63
  5. Step 5: Solve for x
    x = 314,918,026.63/26,614.16
  6. Step 6: Final answer
    x = 11,832.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.